Chosen Solution
Hello, I bought a broken iPhone 5S. It was not possible to charge the battery. So at first, I replaced the lightning connector with success, iTunes recognized the phone. I tryed to recover it but without sucess. Then I tryed other configurations. The screen/display is faulty. I only see strips and some colours. So I disconnected the screen unit, changed the battery (not the same APN), disconnected the cable with the power button and the rear camera. I also interchanged the logic board with another iPhone but all without sucess. Everytime I got error 2009 or 4005. Error 2009 if I disconnect the rear camera + display unit. Error 4005 with the other battery and with display unit. I have no idea what I can do now. :(
See this question and answers: Error 4005 Wont boot up but shows up in Itunes (DFU))